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431444200344132 = 22378745684476953
BaseRepresentation
bin110001000011001010110111…
…0010011010100101001000100
32002120121122220010200210112110
41202012111232103110221010
5423022240210242003012
64125334421315421020
7156606546325605633
oct14206255623245104
92076548803623473
10431444200344132
11115520504404768
12404809398b4770
1315698023912941
14787802159351a
1534d2cc169a73c
hex188656e4d4a44

431444200344132 has 24 divisors (see below), whose sum is σ = 1007982299513056. Its totient is φ = 143631995537088.

The previous prime is 431444200344103. The next prime is 431444200344139. The reversal of 431444200344132 is 231443002444134.

It is a happy number.

It is a super-3 number, since 3×4314442003441323 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (431444200344139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22842229033 + ... + 22842247920.

Almost surely, 2431444200344132 is an apocalyptic number.

It is an amenable number.

431444200344132 is an abundant number, since it is smaller than the sum of its proper divisors (576538099168924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431444200344132 is a wasteful number, since it uses less digits than its factorization.

431444200344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45684477747 (or 45684477745 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 431444200344132 its reverse (231443002444134), we get a palindrome (662887202788266).

The spelling of 431444200344132 in words is "four hundred thirty-one trillion, four hundred forty-four billion, two hundred million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 787 1574 2361 3148 4722 9444 45684476953 91368953906 137053430859 182737907812 274106861718 548213723436 35953683362011 71907366724022 107861050086033 143814733448044 215722100172066 431444200344132